Successive discounts of $10 \%$,$20 \%$ and $50 \%$ will be equivalent to a single discount of .......... $\%$

$A$ shopkeeper listed the price of goods at $30 \%$ above the cost price. He sells half the stock at this price, one-fourth of the stock at a discount of $15 \%$, and the remaining at $30 \%$ discount. His overall profit is.......$\%$

$A$ man buys two chairs for a total cost of $900$. By selling one for $\frac{4}{5}$ of its cost and the other for $\frac{5}{4}$ of its cost,he makes a profit of $90$ on the whole transaction. The cost of the lower priced chair is (in $Rs.$)

$A$ loss of $19 \%$ gets converted into a profit of $17 \%$ when the selling price is increased by $Rs. 162$. The cost price of the article is (in $Rs.$)

$A$ cloth merchant sold half of his cloth at $20 \%$ profit,half of the remaining at $20 \%$ loss,and the rest was sold at the cost price. In the total transaction,his gain or loss will be

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$,then the value of $x$ is: